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Finding the Third Proportional to 1,010,204.16 and 2,194,791.19

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Solution

The third proportional to 1,010,204.16 and 2,194,791.19 is: 4,768,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,204.16 : 2,194,791.19 = 2,194,791.19 : x
  2. Step 2: Convert to fraction form
    1,010,204.16/2,194,791.19 = 2,194,791.19/x
  3. Step 3: Cross multiply
    1,010,204.16x = 2,194,791.19 × 2,194,791.19
  4. Step 4: Simplify right side
    1,010,204.16x = 4,817,108,356,727.66
  5. Step 5: Solve for x
    x = 4,817,108,356,727.66/1,010,204.16
  6. Step 6: Final answer
    x = 4,768,450.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.